Physical Review A

Differential scattering of Na-Na in the subthermal energy range

P. Westphal, A. Horn, S. Koch, J. Schmand, H. J. Andrä

Published Nov 1, 1996• 5 citations

Abstract

We have calculated total and differential cross sections for the ${\mathrm{Na}}_{2}$ scattering complex in the triplet ground state, using the state-of-the-art triplet Coulomb potential. Resonances in the cross section appear in the projectile velocity range 0--50 m/s for the even partial waves l=2,6,8,12,16. The most significant resonance occurs at 10.48 m/s due to l=6 with a total cross section of 7145 A${\mathrm{\r{}}}^{2}$. Pronounced structures in the differential cross sections can be resolved for projectile velocity widths of about 1 m/s which are typical for laser Doppler cooling. In order to check and improve the currently used triplet potential curve we have evaluated the feasibility of a scattering experiment. \textcopyright{} 1996 The American Physical Society.

DOI: 10.1103/physreva.54.4577

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Physical Review A

Differential scattering of Na-Na in the subthermal energy range

P. Westphal, A. Horn, S. Koch, J. Schmand, H. J. Andrä

Published Nov 1, 1996• 5 citations

Publisher

Abstract

We have calculated total and differential cross sections for the

{\mathrm{Na}}_{2}

scattering complex in the triplet ground state, using the state-of-the-art triplet Coulomb potential. Resonances in the cross section appear in the projectile velocity range 0--50 m/s for the even partial waves l=2,6,8,12,16. The most significant resonance occurs at 10.48 m/s due to l=6 with a total cross section of 7145 A

{\mathrm{\r{}}}^{2}

. Pronounced structures in the differential cross sections can be resolved for projectile velocity widths of about 1 m/s which are typical for laser Doppler cooling. In order to check and improve the currently used triplet potential curve we have evaluated the feasibility of a scattering experiment. \textcopyright{} 1996 The American Physical Society.

DOI: 10.1103/physreva.54.4577

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Differential scattering of Na 3S $sub 1$ / $sub 2$ and 3P $sub 3$ / $sub 2$ from Ne: Determination of ground- and excited-state potentials for NaNeDifferential scattering of Na 3S$sub 1$/$sub 2$ and 3P$sub 3$/$sub 2$ from Ne: Determination of ground- and excited-state potentials for NaNe

Gary M. Carter, David E. Pritchard, M. L. Kaplan +1 more

We report high-resolution measurements of the differential cross section for scattering Na in its 3S $sub 1$ / $sub 2$ and 3P $sub 3$ / $sub 2$ states from Ne. A new scheme is used to maintain a high fraction (approx.20%) of an atomic beam of Na in the excited state for many radiative lifetimes using a single-mode cw dye laser. The differential cross sections are interpreted to yield interatomic potential curves for both the X $Sigma$ and APi states of the NaNe molecule which seriously disagree with recent pseudopotential calculations. (AIP)We report high-resolution measurements of the differential cross section for scattering Na in its 3S$sub 1$/$sub 2$ and 3P$sub 3$/$sub 2$ states from Ne. A new scheme is used to maintain a high fraction (approx.20%) of an atomic beam of Na in the excited state for many radiative lifetimes using a single-mode cw dye laser. The differential cross sections are interpreted to yield interatomic potential curves for both the X$Sigma$ and APi states of the NaNe molecule which seriously disagree with recent pseudopotential calculations. (AIP)

Physical Review LettersOct 27, 19750 citations

Differential Scattering of Na 3S12 and 3P32 from Ne: Determination of Ground- and Excited-State Potentials for NaNe

Gary M. Carter, David E. Pritchard, Martin Kaplan +1 more

We report high-resolution measurements of the differential cross section for scattering Na in its $3{S}_{\frac{1}{2}}$ and $3{P}_{\frac{3}{2}}$ states from Ne. A new scheme is used to maintain a high fraction (\ensuremath{\sim}20%) of an atomic beam of Na in the excited state for many radiative lifetimes using a single-mode cw dye laser. The differential cross sections are interpreted to yield interatomic potential curves for both the $X\ensuremath{\Sigma}$ and $A\ensuremath{\Pi}$ states of the NaNe molecule which seriously disagree with recent pseudopotential calculations.We report high-resolution measurements of the differential cross section for scattering Na in its $3{S}_{\frac{1}{2}}$ and $3{P}_{\frac{3}{2}}$ states from Ne. A new scheme is used to maintain a high fraction (\ensuremath{\sim}20%) of an atomic beam of Na in the excited state for many radiative lifetimes using a single-mode cw dye laser. The differential cross sections are interpreted to yield interatomic potential curves for both the $X\ensuremath{\Sigma}$ and $A\ensuremath{\Pi}$ states of the NaNe molecule which seriously disagree with recent pseudopotential calculations.

Physical Review LettersOct 27, 197593 citations

Information on the Σ+1 and Σ+3 Potentials of NaCs from Total Scattering Cross-Section Measurements

W. Neumann, H. Pauly

Physical Review LettersFeb 19, 196816 citations

We have calculated total and differential cross sections for the

{\mathrm{Na}}_{2}

{\mathrm{\r{}}}^{2}

{}^{85}

Rb as well as

{}^{87}

Rb. Our results are based on the state of the art ${X}^{1}{\ensuremath{\Sigma}}_{g}^{+}$ and $a{}^{3}{\ensuremath{\Sigma}}_{u}^{+}$ potentials. Pronounced resonances in the total scattering cross sections occur for collision velocities below 15 m/s. We propose scattering experiments with slow Rb beams in order to check the currently known singlet and triplet potential-energy curves.

Interaction potentials for the X $^{1}\mathrm{\ensuremath{\Sigma}}_{\mathrm{g}}^{+}$ and a $^{3}\mathrm{\ensuremath{\Sigma}}_{\mathrm{u}}^{+}$ states of

{\mathrm{Na}}_{2}

are constructed and used in calculations of the elastic scattering of two Na atoms at ultralow temperatures. The sensitivity to retardation effects (or Casimir corrections) is explored. The calculated elastic and spin-change cross sections are very large, of the order of ${10}^{\mathrm{\ensuremath{-}}12}$--${10}^{\mathrm{\ensuremath{-}}13}$

{\mathrm{cm}}^{2}

at zero temperature. The predicted scattering lengths are both positive, 34.9

{\mathit{a}}_{0}

for the X $^{1}\mathrm{\ensuremath{\Sigma}}_{\mathrm{g}}^{+}$ state and 77.3

{\mathit{a}}_{0}

for the a $^{3}\mathrm{\ensuremath{\Sigma}}_{\mathrm{u}}^{+}$ state. Pronounced shape resonances appear for the l=3 and 7 partial waves for the singlet and l=6 for the triplet states.

Differential scattering of Na 3S

sub 1

sub 2

and 3P

sub 3

sub 2

from Ne: Determination of ground- and excited-state potentials for NaNe

We report high-resolution measurements of the differential cross section for scattering Na in its 3S

sub 1

sub 2

and 3P

sub 3

sub 2

states from Ne. A new scheme is used to maintain a high fraction (approx.20%) of an atomic beam of Na in the excited state for many radiative lifetimes using a single-mode cw dye laser. The differential cross sections are interpreted to yield interatomic potential curves for both the X

Sigma

and APi states of the NaNe molecule which seriously disagree with recent pseudopotential calculations. (AIP)

We report high-resolution measurements of the differential cross section for scattering Na in its

3{S}_{\frac{1}{2}}

and

3{P}_{\frac{3}{2}}

states from Ne. A new scheme is used to maintain a high fraction (\ensuremath{\sim}20%) of an atomic beam of Na in the excited state for many radiative lifetimes using a single-mode cw dye laser. The differential cross sections are interpreted to yield interatomic potential curves for both the $X\ensuremath{\Sigma}$ and $A\ensuremath{\Pi}$ states of the NaNe molecule which seriously disagree with recent pseudopotential calculations.